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Finding the Fourth Proportional to 66.20, 91.29 and 47.90

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Solution

The fourth proportional to 66.20, 91.29 and 47.90 is: 66.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.20 : 91.29 = 47.90 : x
  2. Step 2: Convert to fraction form
    66.20/91.29 = 47.90/x
  3. Step 3: Cross multiply
    66.20x = 91.29 × 47.90
  4. Step 4: Simplify right side
    66.20x = 4,372.33
  5. Step 5: Solve for x
    x = 4,372.33/66.20
  6. Step 6: Final answer
    x = 66.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.